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Multi-dimensional hyperbolic partial differential equations - Sylvie Benzoni-Gavage, Denis Serre

Multi-dimensional hyperbolic partial differential equations

First-order systems and applications
Buch | Hardcover
536 Seiten
2006
Oxford University Press (Verlag)
978-0-19-921123-4 (ISBN)
CHF 209,95 inkl. MwSt
Authored by leading scholars, this text presents the state of the art in multi-dimensional hyperbolic PDEs, with an emphasis on problems in which modern tools of analysis are used. Ordered in sections of gradually increasing difficulty and with an extensive bibliography, the text is ideal for graduates and researchers in applied mathematics.
Authored by leading scholars, this comprehensive, self-contained text presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. Ordered in sections of gradually increasing degrees of difficulty, the text first covers linear Cauchy problems and linear initial boundary value problems, before moving on to nonlinear problems, including shock waves. The book finishes with a discussion of the application of hyperbolic PDEs to gas dynamics, culminating with the shock wave analysis for real fluids.

With an extensive bibliography including classical and recent papers both in PDE analysis and in applications (mainly to gas dynamics), this text will be valuable to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.

THE LINEAR CAUCHY PROBLEM; THE LINEAR INITIAL BOUNDARY VALUE PROBLEM; NONLINEAR PROBLEMS; APPLICATIONS TO GAS DYNAMICS; APPENDIX

Reihe/Serie Oxford Mathematical Monographs
Verlagsort Oxford
Sprache englisch
Maße 164 x 240 mm
Gewicht 893 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Strömungsmechanik
ISBN-10 0-19-921123-X / 019921123X
ISBN-13 978-0-19-921123-4 / 9780199211234
Zustand Neuware
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